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Simplifying 2(x + -8) + 7 = 5(x + 2) + -39 + -19 Reorder the terms: 2(-8 + x) + 7 = 5(x + 2) + -39 + -19 (-8 * 2 + x * 2) + 7 = 5(x + 2) + -39 + -19 (-16 + 2x) + 7 = 5(x + 2) + -39 + -19 Reorder the terms: -16 + 7 + 2x = 5(x + 2) + -39 + -19 Combine like terms: -16 + 7 = -9 -9 + 2x = 5(x + 2) + -39 + -19 Reorder the terms: -9 + 2x = 5(2 + x) + -39 + -19 -9 + 2x = (2 * 5 + x * 5) + -39 + -19 -9 + 2x = (10 + 5x) + -39 + -19 Reorder the terms: -9 + 2x = 10 + -39 + -19 + 5x Combine like terms: 10 + -39 = -29 -9 + 2x = -29 + -19 + 5x Combine like terms: -29 + -19 = -48 -9 + 2x = -48 + 5x Solving -9 + 2x = -48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 2x + -5x = -48 + 5x + -5x Combine like terms: 2x + -5x = -3x -9 + -3x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -3x = -48 + 0 -9 + -3x = -48 Add '9' to each side of the equation. -9 + 9 + -3x = -48 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -48 + 9 -3x = -48 + 9 Combine like terms: -48 + 9 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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